MoathS552128 MoathS552128
  • 26-10-2022
  • Mathematics
contestada

For the data in the table, write an equation for the direct variation.

For the data in the table write an equation for the direct variation class=

Respuesta :

LashonQ464090 LashonQ464090
  • 26-10-2022

The equation of direct variation is,

[tex]\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}[/tex]

Substitute the values of y and x.

[tex]\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}[/tex]

So, the obtained equation will be y=1.35(x).

Let's check with the values of x.

1) If x=4

[tex]\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}[/tex]

2) If x=2

[tex]\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}[/tex]

3) If x=-2

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